Finding the Third Proportional to 23,441 and 31,813

Step by Step Solution

1. Step 1: Write the proportion equation
   23,441 : 31,813 = 31,813 : x
2. Step 2: Convert to fraction form
   23,441/31,813 = 31,813/x
3. Step 3: Cross multiply
   23,441x = 31,813 × 31,813
4. Step 4: Simplify right side
   23,441x = 1,012,066,969
5. Step 5: Solve for x
   x = 1,012,066,969/23,441
6. Step 6: Final answer
   x = 43,175.08